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Algebra 1B Final Review

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

What is the correlation for the following scatter plot?

a)

No Correlation

b)

Negative Correlation

c)

Positive Correlation

2.

Find the interquartile range of the following numbers: 84, 88, 72, 74, 98, 16, 94 

a)

78

b)

22

c)

16

d)

There is no IQR.

3.
a)
Function
b)
Not a Function
4.

Which expression below is simplified from x2  81x2 + 12x + 27\frac{x^2\ -\ 81}{x^2\ +\ 12x\ +\ 27}  ?

a)

(x + 3)\left(x\ +\ 3\right)  

b)

(x + 9)\left(x\ +\ 9\right)  

c)

(x  9)(x + 3)\frac{\left(x\ -\ 9\right)}{\left(x\ +\ 3\right)}  

d)

(x  9)(x + 9)\frac{\left(x\ -\ 9\right)}{\left(x\ +\ 9\right)}  

5.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
6.
Which equation shows the commutative property of addition?
a)
m + n = n + m
b)
a + (b + c) = (a + b) + c
c)
r + y = m + v
d)
v + r + p = t
7.
a)

3x−1y−5

b)

3x2y

c)

3xy5

d)

−3x3y7

8.
Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24
a)
(3, 6)
b)
(-3, -6)
c)
(-3, -4)
d)
(3, -6)
9.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7 
b)
5a3 - 4a2 - 14a - 7 
c)
5a3 - 4a2 - 20a - 7 
d)
5a3 - 9a2 - 20a - 7
10.
Factor the trinomial.  
x2 - 13x - 30
a)
(x + 2)(x - 15)
b)
(x - 2)(x + 15)
c)
(x - 3)(x - 10)
d)
(x + 10)(x - 3)
11.

At a candy factory, butterscotch candies were packaged into bags of different sizes.


How many bags had exactly 66 butterscotch candies?

a)

3

b)

1

c)

4

d)

2

12.

What is the unit rate (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

13.
2d2 = 8
a)
4
b)
-2
c)
-4, 4
d)
-2, 2
14.

(14+2)\sqrt[]{\left(14+2\right)}

a)

8

b)

3

c)

4

d)

6

15.
What is the range of the data shown in the stem and leaf plot?
a)
40
b)
56
c)
136
d)
96
16.
What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?
a)
5/6
b)
1/36
c)
1/3
d)
1/6
17.
|2a - 10| = 6
a)
a = 8, a = 5
b)
a = 2
c)
a = 8
d)
a = 8, a = 2
18.

|x - 8| > 12

a)

x > 20 or x < -4

b)

x > 20 and x < -4

c)

x > 4 or x < -20

d)

x > 4 and x < -4

19.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
20.

Find the x-intercept of the line: x + 4y = 7

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

21.

Write the equation of the line that passes through the points (1, -5) and (0, 3)

a)

y = 3y\ =\ 3  

b)

y = -8x + 3

c)

y = 1x - 5

d)

y = -5x + 3

22.
Find the mean:
28, 18, 19, 18, 17
a)
20
b)
18
c)
11
d)
19
23.

7w-3(4w+8)=11

a)

w= 3

b)

w= 9

c)

w= -7

d)

w= 7

24.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
25.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?
a)

S + A = 530 3S + 4A = 1740

b)

S + A = 530 4S + 3A = 1740

c)

S + A = 1740 3S + 4A = 530

d)

S + A = 1740 4S + 3A = 530